In mathematics, a Lipschitz domain (or domain with Lipschitz boundary) is a domain in Euclidean space whose boundary is "sufficiently regular" in the sense...

In mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions...

Codomain Domain decomposition Effective domain Image (mathematics) Lipschitz domain Naive set theory Range of a function Support (mathematics) "Domain, Range...

Cauchy–Lipschitz theorem Lipschitz domain Lipschitz quaternion Lipschitz continuity Uniform, Hölder and Lipschitz continuity Lipschitz distance Lipschitz-continuous...

considered types of domains are domains with continuous boundary, Lipschitz boundary, C1 boundary, and so forth. A bounded domain is a domain that is bounded...

Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis...

Hurwitz (1919). A Lipschitz quaternion (or Lipschitz integer) is a quaternion whose components are all integers. The set of all Lipschitz quaternions L =...

{R} ^{n}} is either the full space, a half-space or a bounded and Lipschitz domain. If s ∈ ( 0 , 1 ) {\displaystyle s\in (0,1)} and p ≥ 1 {\displaystyle...

version) of the trace theorem for Lipschitz domains can be found in Gagliardo. On a C 1 {\textstyle C^{1}} -domain, the trace operator can be defined...

space R n {\displaystyle \mathbb {R} ^{n}} with a Lipschitz boundary (i.e., Ω is a Lipschitz domain). Then there exists a constant C, depending only on...